“Arbitrage in the Government Bond Market?”

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“Arbitrage in the Government Bond Market?” Questions 1) Create the 05’ synthetic bond described in the case. How should the price of this synthetic relate to the callable bonds and why? On January 7, 1991, how much would it cost to create synthetic bond using the ’05 bonds? The Callable Bonds are priced at $101.25. The synthetic Bond should be at least equal or higher than the callable bond. Since the risk on callable bonds is higher, the price of callable bonds should be lower. However this is not the case. B-callable = Bnon callable – Embedded Option to call the bond back. YTM call = YTM non callable + risk premium Determined by ability of being called, and how much of risk. It would cost to create the synthetic bond $ 98.783. Ask ( Price at which Issuer / Dealer is willing to sell the bond for. Bid ( Price at which Issuer/Dealer is willing to buy the bond. | | | | | | | | | |Treasury Bonds | | | | | | | | |Ask |Bid |Coupon | | | |81/4 May 00-05 |101.25 |101.125 |4.125 | | | |12-May-05 | |129.9063 |129.7188 |6 | | | |8 7/8 May 00 |104.5 |104.375 |4.4375 | | | | | | | | | | | |STRIPS | | | | | | | | | | | |

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